Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?

Question

03-06-2021
Mathematics

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Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?

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yeisheskd yeisheskd · Answer 1 · 2021-06-03T20:00:36+02:00

Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?​

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Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?